Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bb |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
44741039938560 = 210 · 316 · 5 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23840,-1387740] |
[a1,a2,a3,a4,a6] |
Generators |
[223:2106:1] |
Generators of the group modulo torsion |
j |
1463392165415044/43692421815 |
j-invariant |
L |
7.5353746692473 |
L(r)(E,1)/r! |
Ω |
0.38491480209816 |
Real period |
R |
2.4470917421702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360t3 |
Quadratic twists by: -4 |